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Numerical simulation of fluid flow using generalized finite differences

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Author(s):
Fernanda Olegario dos Santos
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Antonio Castelo Filho; Norberto Mangiavacchi; Márcio Teixeira de Mendonça
Advisor: Antonio Castelo Filho
Abstract

This work presents an integratc simulation system, called UmFlow-2D, wich aims a,t simulating two-dimensional íncompressible fluid flow using unstructed mesh. The system is divided three modules: modeling module, simulation module and visualization module. In this work we present the simulation module. The simulation module implements the Navier-Stokes equation. The governing equations are discretized by a generalized flnite dillerence method and the convective terms by semi-lagrangean method. A projection method is employed to uncouple the velocity componentes and pressure. The management at the unstructed mesh is ready using a data structure called SHE. The numérica! results are compared with analytical solutions and numerical simulations of other works. (AU)